A new class of variational problems arising in the modeling of elastic multi-structures

P. G. Ciarlet

doi:10.1007/BF01386427

Author(s)

P. G. Ciarlet

Detail(s)

Original language	English
Pages (from-to)	547-560
Journal / Publication	Numerische Mathematik
Volume	57
Issue number	1
Publication status	Published - Dec 1990
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1007/BF01386427 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-34249956252&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(d11e974f-528f-4a71-8a0a-98b3e312b7d7).html

Abstract

It is shown how elastic multi-structures that comprise substructures of possibly different "dimensions" (three-dimensional structures, plates, rods) are modeled by coupled, pluri-dimensional, variational problems of a new type. Following recent work by the author, H. LeDret, and R. Nzengwa, we describe here in detail one such problem, which is simultaneously posed over a threedimensional open set with a slit and a two-dimensional open set. The numerical analysis of such problems is also discussed and finally, some numerical results are presented. © 1990 Springer-Verlag.

Research Area(s)

Subject Classifications: AMS(MOS): 65N30, CR: G1.8

Citation Format(s)

[ RIS ] [ BibTeX ]

A new class of variational problems arising in the modeling of elastic multi-structures. / Ciarlet, P. G.
In: Numerische Mathematik, Vol. 57, No. 1, 12.1990, p. 547-560.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Ciarlet, PG 1990, 'A new class of variational problems arising in the modeling of elastic multi-structures', Numerische Mathematik, vol. 57, no. 1, pp. 547-560. https://doi.org/10.1007/BF01386427

Ciarlet, P. G. (1990). A new class of variational problems arising in the modeling of elastic multi-structures. Numerische Mathematik, 57(1), 547-560. https://doi.org/10.1007/BF01386427

Ciarlet PG. A new class of variational problems arising in the modeling of elastic multi-structures. Numerische Mathematik. 1990 Dec;57(1):547-560. doi: 10.1007/BF01386427

Ciarlet, P. G. / A new class of variational problems arising in the modeling of elastic multi-structures. In: Numerische Mathematik. 1990 ; Vol. 57, No. 1. pp. 547-560.